λ
Ratio Atlas

83,178,527

83178527
Deficient Odd Prime

83,178,527 factors as 83178527. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 83178527
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 83,178,528
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #83178493 ← → #83178539

Radix Representation

Decimal 83178527
Binary 100111101010011010000011111 (27 bits)
Octal 0o475232037
Hexadecimal 0x4F5341F

Divisor Catalog (2)

Collatz Trajectory (210 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

83,178,527 249,535,582 124,767,791 374,303,374 187,151,687 561,455,062 280,727,531 842,182,594 421,091,297 1,263,273,892 631,636,946 315,818,473 947,455,420 473,727,710 236,863,855 710,591,566 355,295,783 1,065,887,350 532,943,675 1,598,831,026 799,415,513 2,398,246,540 1,199,123,270 599,561,635 1,798,684,906 899,342,453 2,698,027,360 1,349,013,680 674,506,840 337,253,420 168,626,710 84,313,355 252,940,066 126,470,033 379,410,100 189,705,050 94,852,525 284,557,576 142,278,788 71,139,394 35,569,697 106,709,092 53,354,546 26,677,273 80,031,820 40,015,910 20,007,955 60,023,866 30,011,933 90,035,800 45,017,900 22,508,950 11,254,475 33,763,426 16,881,713 50,645,140 25,322,570 12,661,285 37,983,856 18,991,928

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